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Finding the Fourth Proportional to 242,699.60, 363,952.20 and 84,846.80

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Solution

The fourth proportional to 242,699.60, 363,952.20 and 84,846.80 is: 127,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,699.60 : 363,952.20 = 84,846.80 : x
  2. Step 2: Convert to fraction form
    242,699.60/363,952.20 = 84,846.80/x
  3. Step 3: Cross multiply
    242,699.60x = 363,952.20 × 84,846.80
  4. Step 4: Simplify right side
    242,699.60x = 30,880,179,522.96
  5. Step 5: Solve for x
    x = 30,880,179,522.96/242,699.60
  6. Step 6: Final answer
    x = 127,236.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.